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Finding the Third Proportional to 47,021.20 and 101,711.88

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Solution

The third proportional to 47,021.20 and 101,711.88 is: 220,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,021.20 : 101,711.88 = 101,711.88 : x
  2. Step 2: Convert to fraction form
    47,021.20/101,711.88 = 101,711.88/x
  3. Step 3: Cross multiply
    47,021.20x = 101,711.88 × 101,711.88
  4. Step 4: Simplify right side
    47,021.20x = 10,345,307,105.26
  5. Step 5: Solve for x
    x = 10,345,307,105.26/47,021.20
  6. Step 6: Final answer
    x = 220,013.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.